Answer:Joanie watched 4/15 of the movie at night
Step-by-step explanation:
Let total amount of movie to watch = 1 whole since we are dealing with fractions
Amount of movie watched in the morning = 1/3
Amount watched at night = x
Amount remaining= 2/5
so that Total amount of movie to watch - Amount watched in morning and night = Amount remaining to watch
1 - ( 1/3 + x ) = 2/5
1- 2/5 = 1/3 + x
3/5 =1/3 + x
3/5 - 1/3 = x
9- 5/15 = x
x= Amount watched at night = 4/15
How To Solve It:
$13.76 x 0.07 = $0.96
$13.76 + $0.96 = $14.72
Answer:
$14.72
I hope this helps! :)
Answer: 11 year
P(1) = 37,100
P(4) = 58,400
The linear equation (for x ≥ 1)
P(x) = 37,100 + a(x-1)
For x = 4
58,400 = 37,100 + a(4-1)
58,400 - 37,100 = 3a
21300 = 3a
a = 7100
So, the linear equation:
P(x) = 37100 + 7100*(x-1)
P(x) = 37100 + 7100x - 7,100
P(x) = 7100x + 30000
To find when the profit should reach 108100, we can substitute P(x) by 108100.
108100 = 7100x + 30000
108100 - 30000 = 7100x
78100 = 7100x
x = 78100/7100
x = 11
Answer: 11 year
The distance between the boat and the ocean's floor is 19m
<h3>
How to get the distance from the ship to the ocean's floor?</h3>
We can see this as a right triangle, where the rope with the anchor is the hypotenuse. So we already know that the hypotenuse measures 30m.
We also know an angle, it measures 39°, and we want to get the opposite cathetus to said angle (the height).
Then we use the relation:
Sin(a) = (opposite cathetus)/(hypotenuse).
Replacing the values that we know, we get:
Sin(39°) = d/30m
sin(39°)*30m = d = 18.9m ≈ 19m
The distance between the boat and the ocean's floor is 19m.
If you want to learn more about right triangles, you can read:
brainly.com/question/2217700
